1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
3
1
1
1
2
1
1
6
5
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
4
1
1
3
3
13
3
6
3
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
2
1
2
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
2
1
1
1
2
1
1
1
1
1
2
6
1
3
1
1
3
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
5
2
3
1
3
1
6
2
1
1
9
1
2
2
1
1
1
1
1
1
7
1
1
2
1
3
1
1
1
6
1
1
1
1
1
3
5
1
1
1
1
1
1
2
2
27
1
2
2
1
1
1
1
1
1
1
7
29
1
1
1
11
1
5
3
1
1
1
1
3
1
1
3
1
2
3
1
1
1
15
2
1
2
1
2
1
1
6
2
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
38
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
6
2
2
2
1
1
1
1
1
1
1
2
2
2
3
2
1
1
1
2
6
3
1
1
1
1
5
4
2
1
2
1
9
3
2
1
1
8
3
1
2
1
1
1
2
5
1
9
3
1
3
1
1
1
1
1
2
3
3
1
1
2
1
1
4
1
1
1
1
1
10
3
1
2
1
1
1
1
1
1
4
2
2
1
1
2
1
3
1
1
4
1
1
1
1
3
1
1
2
1
2
1
6
1
1
1
1
1
2
1
1
1
2
2
1
1
1
5
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
4
1
1
1
2
1
1
1
1
1
1
1
3
1
3
1
2
1
2
1
1
1
17
1
1
3
3
1
1
1
1
2
1
2
1
1
1
1
1
1
5
1
1
1
2
2
2
4
2
1
8
1
1
1
1
1
1
2
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
5
1
7
1
1
7
1
1
1
1
1
1
2
1
4
1
2
2
1
5
1
1
12
1
1
2
3
1
1
4
1
2
1
1
17
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
4
1
1
1
2
2
1
8
1
1
94
1
2
1
191
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
2
1
1
1
1
1
1
4
1
1
2
1
1
5
8
6
6
1
1
1
1
2
1
4
2
1
1
1
1
2
7
2
15
1
1
1
4
1
3
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
182
1
4
1
2
2
1
1
2
1
1
3
1
1
3
1
3
2
1
2
3
1
2
1
1
1
1
2
1
1
1
1
1
2
1
2
2
2
1
9
1
4
1
1
14
5
1
11
2
3
4
1
4
1
1
1
1
1
2
1
3
3
2
2
2
2
4
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
89
1
1
1
1
1
1
1
6
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
2
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
4
3
1
1
1
4
4
2
1
1
1
3
5
1
1
1
1
1
3
8
2
1
2
2
1
1
1
4
1
2
1
1
1
1
2
1
1
1
3
1
3
1
1
1
1
2
1
1
1
1
1
1
2
2
1
1
2
1
1
3
1
2
1
1
2
3
44
1
1
2
1
5
1
1
1
1
2
1
7
11
2
1
2
2
1
2
1
23
1
2
4
6
1
1
1
1
1
9
1
1
2
1
7
4
95
2
1
1
1
2
1
1
1
1
1
5
1
2
1
1
5
1
2
1
3
5
1
2
1
1
6
1
2
3
7
1
4
1
1
1
3
2
1
1
2
2
3
1
1
1
1
3
1
1
5
1
1
2
1
3
1
1
1
1
1
1
1
2
17
1
2
1
1
14
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
241
1
1
1
1
2
1
3
3
3
1
1
2
1
1
1
1
4
3
1
1
2
4
1
1
2
1
1
2
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
2
20
4
6
5
2
1
2
1
2
1
1
1
2
1
1
2
1
1
4
1
1
2
1
1
1
2
1
2
1
2
1
1
4
2
1
1
1
3
3
3
3
10
1
7
5
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
19
2
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
10
3
1
1
1
1
3
1
52
1
1
2
1
1
1
1
7
1
2
3
1
1
1
1
2
1
7
1
2
1
3
1
1
1
1
6
3
1
1
2
1
1
1
1
1
2
2
1
2
1
1
1
2
1
1
1
1
1
3
2
2
1
14
1
1
1
1
1
1
1
1
1
1
34
1
1
1
1
5
2
4
1
2
1
2
8
1
3
2
1
2
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
2
1
2
1
1
1
1
2
1
2
1
1
1
1
2
2
5
3
1
1
1
1
24
4
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
13
1
1
1
1
1
7
1
1
1
2
2
1
2
1
11
1
1
1
1
4
1
1
1
63
3
1
1
1
1
2
1
2
1
1
3
1
3
1
1
1
2
1
2
2
2
1
1
1
1
2
1
1
1
1
2
1
7
1
1
3
3
1
1
1
2
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
8
1
3
1
1
1
1
1
2
2
1
1
1
1
1
2
1
5
1
2
2
1
2
2
7
1
2
1
1
1
1
1
1
1
1
1
2
1
4
1
3
1
1
3
1
1
4
1
2
3
3
2
1
1
4
2
1
1
4
6
2
5
1
1
5
1
1
2
1
1
1
1
1
1
1
2
28
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
4
1
1
2
1
1
1
1
1
1
1
2
2
3
1
1
1
2
1
1
46
1
1
18
1
1
1
2
1
2
1
1
2
1
18
2
1
1
2
1
1
1
1
1
1
1
1
1
1
16
2
2
1
1
1
1
1
1
1
2
1
1
2
1
2
2
2
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
2
3
1
1
1
1
1
1
21
3
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
3
1
1
3
1
1
1
131
1
1
1
1
1
3
2
1
1
1
3
1
1
1
1
2
3
1
1
1
1
1
5
2
1
3
1
1
1
1
1
509
2
1
12
1
1
1
2
2
4
1
1
1
1
1
3
1
3
1
1
1
2
4
3
1
1
1
1
1
1
2
5
2
4
1
2
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
2
6
1
1
2
1
1
1
6
2
1
1
2
2
1
3
1
1
1
1
1
1
4
3
1
3
1
1
5
1
1
1
3
1
1
1
1
1
2
1
1
2
2
1
1
1
3
2
1
4
2
2
1
2
1
6
4
3
2
5
7
1
2
1
3
1
5
1
1
1
1
8
1
1
1
1
1
1
1
1
3
3
6
1
2
4
1
5
2
1
5
2
1
3
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
3
92
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
2
1
1
2
1
1
5
2
1
1
1
1
1
5
1
3
1
1
1
3
1
3
3
6
3
1
1
5
1
1
1
1
1
1
1
1
3
2
1
2
3
1
1
3
2
9
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
2
2
1
2
4
1
1
1
1
2
1
3
2
1
1
3
1
3
1
1
1
2
1
3
1
1
1
1
1
3
1
1
3
2
1
1
2
1
1
1
2
7
3
1
1
1
1
1
2
11
1
3
1
23
14
1
1
3
1
1
1
1
3
2
1
1
4
1
2
1
1
3
1
1
1
1
2
2
1
1
1
2
2
1
1
1
2
1
2
1
1
3
2
2
3
1
1
15
2
1
1
1
1
1
1
1
1
56
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
2
1
1
1
2
1
4
1
1
1
1
1
6
1
2
2
2
2
1
1
1
1
2
1
1
3
4
1
1
1
1
1
1
6
1
1
4
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
2
2
1
1
1
1
1
1
2
1
1
4
1
3
1
1
1
1
2
1
1
2
2
1
3
1
1
1
9
1
1
2
1
2
1
1
2
1
1
1
2
1
2
4
1
1
1
1
3
5
1
1
1
1
1
1
1
1
2
1
7
1
2
4
1
2
1
2
2
1
3
1
1
1
2
1
4
1
1
4
6
3
1
2
1
1
1
1
1
1
1
1
4
2
1
1
1
28
2
1
1
1
1
2
2
1
1
1
2
1
1
1
1
3
2
4
1
2
3
18
6
12
1
1
2
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
2
3
3
1
2
1
1
1
1
1
1
11
4
1
2
1
1
1
1
1
2
1
3
2
2
2
2
1
1
1
1
1
1
1
3
2
2
1
3
1
2
1
1
1
5
1
1
1
2
1
5
1
2
3
1
1
1
1
1
1
7
1
1
3
1
1
1
499
23
1
1
3
1
15
3
1
1
1
2
2
1
48
1
4
4
1
1
49
1
1
1
14
4
3
2
2
1
1
2
4
1
1
1
2
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
2
1
1
1
1
1
2
1
2
1
1
1
1
3
1
1
1
1
2
1
2
1
1
1
3
2
1
1
1
1
1
1
1
1
2
1
1
1
2
3
1
2
1
1
1
2
472
1
1
4
3
2
1
2
4
1
1
5
1
1
3
1
2
2
2
1
8
1
1
1
1
2
1
1
1
2
1
1
2
2
1
127
1
2
1
1
8
1
1
1
1
1
1
3
1
1
2
1
2
1
1
1
1
1
3
7
2
1
1
1
12
1
2
2
2
4
1
1
73
1
1
1
2
2
3
1
1
2
85
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
5
8
1
2
1
3
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
5
1
1
1
1
1
2
1
91
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
2
1
2
1
1
1
1
2
2
5
1
2
1
28
1
1
1
2
173
2
1
1
1
1
3
1
1
1
1
3
1
3
1
1
2
10
5
1
1
1
1
1
2
2
2
1
1
1
15
1
1
1
1
1
1
2
1
1
1
1
1
7
2
1
1
4
11
1
1
1
5
1
4
1
5
1
1
1
6
4
1
4
1
1
1
1
1
1
3
2
1
2
1
1
6
1
1
1
1
1
4
3
1
1
1
1
1109
4
1
3
2
1
1
1
2
1
2
3
2
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
2
1
1
3
2
1
2
1
3
1
1
1
1
2
3
1
2
31
3
1
1
1
1
1
1
1
1
1
1
1
1
2
133
1
2
1
4
1
2
2
4
11
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
11
1
3
1
1
1
1
4
1
2
1
1
1
3
1
1
6
1
1
5
2
2
1
1
2
2
1
1
1
2
1
2
1
1
3
1
2
1
1
1
1
2
2
1
1
1
2
10
1
2
1
1
1
3
1
1
1
2
1
1
2
2
1
1
1
1
3
1
1
1
1
1
1
2
1
1
15
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
4
1
1
2
1
1
2
1
4
1
1
2
2
2
1
1
3
4
1
2
1
1
1
2
1
1
1
1
169
1
1
1
3
13
3
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
2
2
1
1
1
1
1
3
1
3
1
1
1
1
1
1
2
1
1
1
2
2
1
1
2
2
1
1
1
1
2
2
6
1
2
1
1
1
2
1
1
1
1
1
1
5
1
3
3
1
3
2
1
1
2
2
1
340
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
9
1
2
1
3
2
2
1
2
2
1
1
1
1
1
2
1
1
1
1
2
1
2
6
2
1
2
1
1
1
1
6
1
1
1
1
2
1
23
3
2
1
15
1
1
1
2
3
3
3
1
1
1
2
1
2
2
1
6
35
1
3
3
1
4
5
1
1
3
1
5
1
3
1
2
2
1
17
1
1
1
2
1
2
2
4
1
2
1
10
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
2
1
3
1
3
1
1
1
1
1
1
2
4
18
1
1
3
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
8
3
1
1
1
1
1
7
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
3
1
1
2
3
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
2
1
1
1
5
3
75
1
1
2
1
1
1
1
3
1
1
1
3
2
2
2
3
2
1
1
1
1
1
2
1
1
2
1
1
3
1
2
1
1
1
1
7
1
1
1
2
1
1
2
775
3
1
2
1
1
1
3
1
1
2
1
47
1
1
1
1
1
2
4
5
3
3
1
2
4
1
2
1
3
2
2
1
1
1
1
1
1
2
12
3
3
3
1
1
8
1
312
3
1
1
1
2
2
1
2
2
1
2
3
1
2
6
1
1
1
4
2
1
1
2
2
2
2
1
4
1
1
1
2
1
3
6
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
12
2
1
1
2
1
1
8
1
1
1
6
92
1
1
1
2
1
1
1
1
2
8
1
2
1
1
20
2
1
3
1
1
3
1
3
1
4
6
2
1
3
1
1
1
1
1
2
4
1
1
1
1
2
1
1
2
1
1
1
2
2
1
2
1
1
1
88
12
2
1
1
1
1
1
1
2
2
2
1
1
1
1
1
2
1
2
1
1
1
4
1
2
103
7
1
3
1
1
1
1
1
1
1
5
1
86
2
1
1
4
1
6
4
1
1
3
1
425
1
1
1
1
1
3
2
1
1
2
1
1
1
2
1
1
1
1
1
1
8
1
1
1
3
1
2
1
1
1
1
15
2
1
1
1
1
3
2
333
1
2
3
1
1
13
1
3
1
1
3
2
1
1
2
1
1
1
1
1
2
1
3
2
3
3
1
1
1
26
1
1
1
1
1
1
1
1
1
4
1
1
2
1
1
1
1
7
2
1
2
1
27
1
1
1
5
1
1
3
3
1
1
3
1
3
1
11
1
3
1
7
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
3
6
1
11
1
1
20
1
1
1
1
1
1
1
1
1
1
4
5
2
1
1
1
1
1
1
3
1
2
1
3
1
2
1
1
2
1
1
1
3
14
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
2
1
1
2
2
1
4
1
1
3
2
2
1
1
18
1
1
4
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
7
4
1
1
1
1
2
1
3
2
1
1
1
10
2
3
4
4
1
4
1
1
1
3
2
1
2
4
1
1
1
1
1
1
1
2
1
1
1
1
1
13
1
1
2
1
2
1
5
1
1
2
3
1
1
2
2
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
3
3
2
4
1
1
2
1
2
1
1
2
1
1
1
2
3
1
1
4
1
2
2
1
2
1
1
1
1
2
1
2
2
1
1
1
2
1
1
3
4
4
6
1
1
1
1
2
3
3
1
3
1
1
1
1
1
1
1
2
1
1
2
1
3
2
1
1
2
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
6
1
1
6
2
1
1
2
1
1
1
2
5
1
1
1
2
4
4
1
3
1
2
1
2
2
10
4
1
1
2
1
1
1
1
5
2
1
1
7
1
1
1
1
1
2
1
1
1
2
1
2
1
1
1
3
2
8
1
5
2
2
3
1
1
2
1
1
1
2
1
1
5
1
1
2
2
1
1
1
4
2
2
4
8
1
2
3
1
2
1
1
1
1
2
10
1
2
1
26
2
2
2
6
1
3
1
2
1
1
1
1
7
1
4
2
2
1
3
1
1
1
1
1
1
1
1
13
5
1
1
1
5
1
1
1
2
2
4
1
1
7
1
1
1
5
3
1
1
1
3
1
2
1
1
1
2
2
1
1
2
1
1
1
1
1
5
2
1
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
1
7
1
4
2
2
11
1
1
1
1
1
1
1
5
1
1
1
1
3
4
2
46
1
1
5
1
1
1
2
1
2
1
1
1
1
1
1
6
1
1
1
1
38
1
1
1
1
1
1
1
1
1
1
1
4
2
2
4
1
26
1
1
1
1
2
2
1
1
2
1
1
260
1
1
5
1
3
1
1
2
1
1
1
1
8
2
1
3
1
21
1
1
1
1
2
3
2
1
2
1
2
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
3
2
1
1
1
2
1
1
1
2
2
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
6
1
1
1
1
1
1
1
3
6
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
2
1
1
10
2
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
1
2
1
1
2
1
1
1
2
1
2
1
1
1
1
1
2
1
3
1
2
1
1
1
1
6
1
1
2
1
4
1
1
1
1
1
3
1
1
1
1
4
1
1
2
1
1
1
2
2
1
1
74
1
1
2
1
9
1
10
1
1
1
1
3
9
6
7
3
1
1
1
27
1
1
3
2
24
3
4
2
1
3
3
1
1
1
3
2
1
18206
1
2
4
2
2
1
1
1
1
1
2
5
1
2
2
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
2
7
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
4
8
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
3
8
2
10
1
1
1
1
2
1
1
7
4
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
47
2
1
2
1
1
1
2
5
3
2
1
4
14
1
1
1
1
1
1
6
1
1
1
1
5
1
140
1
1
5
1
1
5
6
1
10
2
1
2
2
2
2
4
4
2
1
1
1
4
1
1
1
2
2
1
1
4
1
1
2
1
11
2
2
8
8
3
1
2
2
1
5
7
2
1
2
1
2
4
1
3
1
1
3
1
1
1
2
2
5
1
1
1
1
1
1
15
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
5
15
2
1
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
2
2
2
1
1
4
6
1
1
1
3
1
3
1
1
2
1
1
1
1
1
16
1
1
2
1
1
1
1
2
119
4
1
1
1
3
7
2
1
5
2
1
2
1
2
1
2
2
1
3
3
1
2
1
2
1
1
1
1
1
1
1
1
1
7
1
28
1
1
1
1
1
2
1
1
1
2
1
1
2
1
2
1
3
1
1
1
1
1
1
1
1
1
2
1
2
1
4
1
1
2
2
2
1
1
5
1
1
1
1
1
2
1
1
1
1
3
1
1
2
1
11
1
1
1
192
3
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
252
1
1
1
1
1
3
1
1
21
1
1
2
1
3
1
20
2
1
1
3
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
65
11
2
1
2
1
1
1
2
1
2
23
3
4
1
1
3
1
2
2
2
1
1
2
3
4
1
5
1
1
1
1
2
1
2
1
1
1
1
1
19
2
2
2
1
1
1
2
6
1
2
1
1
1
4
1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
12
2
1
1
3
1
2
1
1
1
1
3
3
1
1
2
2
1
1
2
1
1
1
1
5
1
2
3
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
2
7
1
1
1
1
1
3
1
1
2
1
3
1
1
1
1
1
1
2
1
4
1
1
1
7
1
2
17
1
2
1
1
2
1
1
1
2
2
4
3
1
2
1
1
103
2
1
1
1
1
2
1
4
1
1
1
1
1
4
2
1
2
1
1
1
1
2
1
1
1
3
1
1
1
2
6
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
2
1
14
1
1
3
4
3
1
1
1
2
2
2
1
1
1
1
1
1
12
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
20
2
1
2
1
2
1
1
1
1
1
4
1
1
1
1
1
3
1
2
1
1
1
13
1
1
1
3
1
1
1
1
1
1
2
4
1
1
4
1
1
1
1
35
2
2
3
1
1
2
2
1
1
2
2
1
5
1
1
3
9
1
1
2
1
5
1
1
2
4
1
1
2
1
1
1
2
3
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
5
1
1
4
2
1
5
1
1
1
2
1
2
2
1
1
1
2
1
1
3
8
2
2
1
1
1
2
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
2
1
4
1
3
4
1
1
5
3
1
1
1
1
3
1
1
1
4
1
3
2
3
3
12
1
1
7
3
3
2
1
8
4
1
1
1
5
2
2
1
1
4
1
1
1
2
3
4
1
19
3
5
1
1
1
1
3
1
1
1
2
2
1
1
1
2
2
1
1
1
1
2
1
2
1
1
1
3
5
4
1
2
4
1
1
7
1
1
1
1
3
7
1
1
1
2
1
1
1
15
6
1
1
5
1
1
2
1
2
1
6
2
2
2
1
1
3
1
3
1
2
1
1
3
1
1
2
1
2
1
1
1
1
1
1
1
1
8
3
1
1
1
1
1
2
1
1
1
1
1
9
1
2
1
1
1
2
1
1
2
2
1
1
2
2
3
1
1
1
3
1
2
1
25
4
1
2
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
6
3
2
1
3
1
6
1
1
1
1
2
1
1
6
1
1
2
1
3
3
1
1
2
3
1
1
1
2
241
4
2
21
3
1
1
3
1
1
5
19
32
20
1
45
5
7
1
3
1
2
1
1
2
1
1
1
2
1
1
1
1
3
1
2
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
2
7
1
2
1
4
5
1
1
1
2
1
1
1
1
1
3
1
1
1
1
3
10
2
1
1
3
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
2
5
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
2
4
3
1
1
1
1
1
1
1
1
1
2
1
1
4
2
1
1
1
1
1
1
4
1
1
3
1
1
3
2
1
2
1
1
4
1
1
2
2
3
1
3
1
4
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
3
1
1
1
3
1
1
5
1
1
2
1
1
3
2
1
1
1
2
2
1
3
1
1
2
1
1
1
1
1
1
2
2
1
2
1
1
1
1
3
1
1
1
2
2
1
1
1
4
1
1
1
2
2
6
1
3
1
3
7
1
2
1
1
1
1
2
3
1
1
3
2
2
1
3
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
2
2
1
2
2
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
2
1
2
2
1
1
3
1
1
1
1
1
1
1
3
3
1
1
2
3
1
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
2
1
1
5
1
1
1
1
2
1
4
1
1
1
1
2
1
1
1
2
1
6
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
4
2
4
2
2
1
2
1
4
1
4
2
1
1
3
2
2
2
4
1
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
4
1
1
1
2
2
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
7
2
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
5
2
1
1
2
1
1
1
3
1
1
3
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
3
1
1
1
4
2
7
1
1
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
5
1
1
1
1
1
1
1
2
2
1
1
2
1
2
1
1
3
1
3
1
1
1
1
1
1
1
2
1
1
5
1
1
1
1
1
3
1
1
1
2
1
1
1
1
3
2
1
2
1
1
2
1
2
1
4
1
1
2
1
1
1
1
1
1
1
2
3
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
6
1
3
1
1
1
1
1
1
2
1
3
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
2
1
4
1
2
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
2
2
1
6
1
3
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
2
1
2
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
3
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
2
2
1
1
1
3
1
3
1
3
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
14
1
6
1
1
1
1
1
4
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
3
1
1
1
2
1
10
1
2
15
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
3
1
1
1
2
1
1
3
1
1
1
1
1
7
1
3
1
2
1
4
3
1
1
2
2
6
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
6
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
2
254
264
1
2
1
2
1
1
1
1
1
1
1228
1
1
1
2
1
1
1
1
1
1
4
1
139
1
1
1
1
1
3
4
14
1
2
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
2
3
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
2
1
2
1
1
2
1
2
1
3
8
13
1
1
1
1
1
3
3
1
1
1
3
4
1
1
1
1
25
2
11
1
1
1
5
1
2
1
3
1
1
2
1
1
1
1
1
1
1
54
3
1
2
1
1
1
3
1
1
1
1
1
1
2
1
1
3
3
1
6
1
3
2
1
1
1
1
1
4
4
1
1
1
1
1
1
2
1
1
1
1
1
1
10
3
3
2
1
2
20
1
7
1
1
5
3
1
2
2
2
1
1
2
1
1
1
2
1
1
2
4
1
1
6
1
2
1
1
14
5
3
1
1
1
1
2
2
3
1
1
1
1
1
1
2
4
4
6
2
2
2
1
1
3
1
3
1
4
1
1
5
3
1
3
1
8
8
1
2
1
2
2
3
1
1
2
1
1
1
1
1
1
1
7
18
3
3
3
1
1
2
1
1
1
4
1
1
1
1
1
2
3
3
1
1
1
1
1
1
4
5
1
5
3
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
2
2
1
1
2
2
1
1
1
1
2
2
1
1
1
2
1
1
3
1
2
2
2
1
2
1
1
1
2
1
1
1
1
4
1
2
2
1
1
1
1
1
1
1
1
1
1
1
3
7
2
2
1
3
1
1
1
1
1
1
1
1
1
5
1
1
2
1
1
1
1
1
1
3
5
1
4
1
1
2
3
3
1
1
1
1
10
1
2
3
1
1
1
1
1
1
1
2
1
2
1
1
1
3
1
1
1
18
1
1
1
2
2
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
2
2
3
1
1
1
1
5
4
1
1
1
2
2
2
1
1
1
1
2
1
2
2
2
2
1
1
1
1
1
1
1
1
3
1
1
2
1
1
2
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
5
1
1
1
1
1
3
22
4
8
2
1
1
1
2
3
1
1
2
1
3
3
1
1
1
1
1
2
1
1
1
1
1
1
1
2
2
2
3
1
2
1
1
1
2
1
1
13
5
1
1
1
3
2
1
1
12
1
2
1
1
1
2
1
2
1
1
5
1
1
1
1
2
1
1
4
1
1
1
1
11
1
2
1
1
1
1
1
6
1
1
4
1
1
1
2
1
1
1
2
1
5
1
1
1
2
1
2
1
3
1
1
11
1
1
3
3
1
2
2
1
1
1
3
2
1
1
1
5
5
1
1
1
1
1
6
6
1
1
116
7
2
53
18
1
1
1
2
2
3
1
5
1
1
1
1
2
4
5
4
1
1
5
2
4
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
4
2
9
1
2
2
1
1
1
1
1
3
1
2
5
8
1
7
1
52
3
1
1
2
1
1276
2
1
1
1
1
2
2
1
51
1
1
6
2
2
1
1
2
1
1
7
2
1
1
1
1
2
3
1
1
1
1
3
1
1
1
1
1
1
2
1
1
2
2
1
5
2
1
1
1
5
4
1
5
3
1
1
1
1
1
1
1
8
3
2
1
1
1
1
1
5
2
1
1
2
1
1
1
2
3
1
1
2
1
1
1
1
13
3
1
1
1
2
1
5
3
1
1
1
2
12
1
3
1
7
1
1
3
1
1
1
1
1
1
1
2
5
4
1
1
2
1
4
1
1
3
1
1
2
1
1
1
1
6
1
4
3
1
1
1
1
1
1
1
2
2
1
1
3
1
5
1
1
1
1
3
2
1
1
1
1
2
1
1
2
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
2
21
1
2
1
1
2
1
1
2
4
1
2
2
2
8
2
1
3
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
5
1
1
1
2
1
2
1
1
10
2
1
2
1
2
2
2
11
1
1
1
6
1
1
1
1
1
2
1
1
1
1
1
7
4
1
1
1
1
1
1
2
46
1
2
2
2
1
1
1
1
1
1
1
2
1
3
1
9
1
4
1
5
1
3
3
1
1
1
1
2
2
2
1
1
1
1
8
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
5
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
6
1
2
1
1
1
2
2
2
1
1
21
1
2
1
1
2
1
1
2
6
1
2
1
1
1
1
2
1
2
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
3
6
1
1
1
1
1
1
2
1
6
1
1
2
1
1
1
1
1
1
1
2
8
1
3
1
1
1
4
2
1
2
1
1
7
2
1
6
1
2
2
1
12
5
2
1
1
2
1
1
1
2
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
8
1
1
1
10
1
1
4
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
5
1
5
1
1
2
1
1
1
1
1
1
1
2
1
2
2
3
8
1
1
1
1
6
1
1
1
1
1
3
1
3
1
1
1
3
7
1
2
2
1
1
1
2
2
1
3
1
1
1
5
1
1
1
2
2
1
1
3
1
1
3
2
1
1
1
2
1
2
1
2
1
2
1
2
2
1
1
1
1
1
1
1
2
7
1
1
2
1
1
1
2
1
1
2
1
1
2
1
1
2
1
1
1
1
1
1
2
1
5
2
1
4
1
14
1
2
1
1
1
1
1
1
1
1
5
1
1
2
1
2
3
1
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
7
2
4
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
3
6
1
5
1
1
1
1
1
1
2
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
2
1
2
1
1
2
19
1
1
1
4
1
1
1
1
2
1
2
3
2
4
2
1
9
1
3
5
1
1
3
2
1
1
21
1
2
1
10
2
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
3
1
2
17
1
1
1
1
2
1
1
1
5
1
1
1
1
2
1
1
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
6
1
1
3
1
3
1
1
2
3
1
4
1
1
1
1
1
1
1
6
1
1
1
3
1
4
1
15
3
4
5
2
1
1
3
1
1
2
2
1
2
25
2
1
2
1
5
3
1
20
1
2
1
2
1
1
2
1
2
2
5
1
1
1
1
27
4
1
1
1
93
1
1
1
1
1
1
2
703
1
2
1
1
1
5
2
1
1
2
1
3
4
1
1
1
2
1
4
4
1
1
1
2
3
1
10
1
2
1
2
20
3
18
15
1
1
6
1
1
1
1
2
1
1
1
6
1
3
1
1
1
1
1
1
1
1
1
1
4
4
1
7
2
2
1
136
1
1
3
1
6
20
2
2
1
1
1
1
2
1
1
1
4
2
1
6
9
1
4
3
1
1
1
1
2
1
1
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
3
1
1
1
7
1
2
1
2
4
1
2
2
4
2
2
1
29
2
1
1
2
9
1
1
1
2
1
2
2
1
1
1
1
12
6
1
1
1
5
1
20
1
2
2
1
1
4
2
2
2
1
1
1
1
1
3
1
1
2
1
7
1
1
1
1
1
2
6
31
1
1
2
1
5
2
1
2
1
6
1
4
1
1
2
1
1
1
2
1
1
1
3
5
2
2
22
3
3
1
1
10
2
2
1
1
2
1
1
2
1
2
1
4
1
1
1
3
1
1
1
1
2
1
3
1
1
1
1
1
1
2
7
1
1
4
5
2
1
1
16
1
8
1
6
1
5
1
1
1
1
1
6
4
1
1
2
1
1
1
8
2
1
2
3
8
5
1
6
1
1
1
1
1
1
1
1
1
4
1
3
2
2
3
5
5
1
12
1
3
1
2
1
5
4
1
2
2
1
1
1
144
2
1
2
1
2
10
2
1
1
1
6
1
5
2
1
1
68
1
1
3
1
1
2
6
3
2
2
4
55
1
3
1
1
4
1
1
1
1
1
1
4
7
2
1
1
2
1
5
1
1
2
2
1
1
1
1
1
1
1
5
1
1
4
2
4
1
1
2
1
1
1
1
5
1
2
1
5
1
1
1
2
1
1
1
2
1
2
1
1
1
2
2
29
4
12
1
1
1
1
1
1
3
5
3
1
1
5
1
1
2
1
2
3
1
1
4
1
1
1
2
1
1
3
1
1
1
1
2
2
1
2
8
2
2
17
9
2
1
1
1
6
1
3
1
1
1
1
4
1
1
1
1
1
1
482
1
1
2
1
6
2
1
1
5
2
2
1
1
3
1
1
3
1
1
1
1
1
11
2
4
1
1
1
1
1
2
5
23
1
1
1
1
1
1
1
1
1
1
4
3
42
4
1
3
1
1
3
2
1
2
3
1
2
1
1
1
6
5
1
1
5
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
4
1
1
4
1
1
7